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Search: id:A133954
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| A133954 |
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Difference between the numbers of nonnegative evil and odious multiples of p_n less than 2^p_n, where p_n = n-th prime. |
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+0
2
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OFFSET
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1,2
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COMMENT
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If prime p_n has a primitive root 2 then a_n=p_n. Problem: to characterise n for which a_n=p_n or -p_n.
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REFERENCES
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J. Coquet, A summation formula related to the binary digits. Invent. Math. 73 (1983),107-115.
M. Drmota and M. Skalba,Rarified sums of the Thue-Morse sequence, Trans. of the Am. Math. Soc. 352, no.2 (1999), 609-642
D. J. Newman,On the number of binary digits in a multiple of three. Proc. Am. Math. Soc. 21(1969) 719-721.
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EXAMPLE
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0,3,6 are evil then a_3=3-0=3
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CROSSREFS
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Cf. A000069, A001969.
Sequence in context: A093988 A108817 A123677 this_sequence A087325 A072151 A029626
Adjacent sequences: A133951 A133952 A133953 this_sequence A133955 A133956 A133957
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KEYWORD
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sign
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 30 2007
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